A motivic proof of the finiteness of relative de Rham cohomology
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912552118648832 |
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| author | Vezzani, Alberto |
| author_facet | Vezzani, Alberto |
| contents | We give a quick proof of the fact that the relative de Rham cohomogy groups of a smooth and proper map X/S between schemes over Q are vector bundles on the base, replacing Hodge-theoretic and transcendental methods with A1-homotopy theory |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A motivic proof of the finiteness of relative de Rham cohomology Vezzani, Alberto Algebraic Geometry We give a quick proof of the fact that the relative de Rham cohomogy groups of a smooth and proper map X/S between schemes over Q are vector bundles on the base, replacing Hodge-theoretic and transcendental methods with A1-homotopy theory |
| title | A motivic proof of the finiteness of relative de Rham cohomology |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.17773 |